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Finding the Fourth Proportional to 58,482, 80,705.02 and 32,988.28

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Solution

The fourth proportional to 58,482, 80,705.02 and 32,988.28 is: 45,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,482 : 80,705.02 = 32,988.28 : x
  2. Step 2: Convert to fraction form
    58,482/80,705.02 = 32,988.28/x
  3. Step 3: Cross multiply
    58,482x = 80,705.02 × 32,988.28
  4. Step 4: Simplify right side
    58,482x = 2,662,319,797.17
  5. Step 5: Solve for x
    x = 2,662,319,797.17/58,482
  6. Step 6: Final answer
    x = 45,523.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.